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C^2 Elastic Curves in Euclidean 3-Space

Tunahan Turhan, Gözde Ö. Tükel, Ahmet Yücesan


In this work, we derive the Euler-Lagrange equation for C^2 elastic curves in Euclidean 3-space. Then, we obtain a special solution by means of this characterization. Finally we give an example.


Bishop frame, elastic curve, C2 curve.

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